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On the spectrum of relativistic Schroedinger equation in finite differences

V. A. Berezin·A. M. Boyarsky·A. Yu. Neronov
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Abstract

We develop a method for constructing asymptotic solutions of finite-difference equations and implement it to a relativistic Schroedinger equation which describes motion of a selfgravitating spherically symmetric dust shell. Exact mass spectrum of black hole formed due to the collapse of the shell is determined from the analysis of asymptotic solutions of the equation.

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V. A. Berezin, A. M. Boyarsky, A. Yu. Neronov. 1999-02-11. On the spectrum of relativistic Schroedinger equation in finite differences. https://arxiv.org/abs/gr-qc/9902028

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